Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608y |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
893555712 = 210 · 38 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1560,-23672] |
[a1,a2,a3,a4,a6] |
j |
562432000/1197 |
j-invariant |
L |
1.5195113033966 |
L(r)(E,1)/r! |
Ω |
0.75975564814111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608fh1 9576i1 25536w1 |
Quadratic twists by: -4 8 -3 |